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shutvik [7]
3 years ago
15

Rewrite the following expression in simplest radical form: (4x^2/3)^3 - (81x^5)^1/4​

Mathematics
1 answer:
saveliy_v [14]3 years ago
6 0

Answer:

64x^2/3x^5/4

Step-by-step explanation:

(4x^2/3)^3 / (81x^5)^1/4​

4^3*x^2/3*3 / 3^4*1/4*x^5/4

64*x^2 / 3*x^5/4

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Theorem: the sum of any two even integers equals 4k for some integer k. "proof: suppose m and n are any two even integers. by de
icang [17]

Remark

The proof is only true if m and n are equal. Make it more general.

m = 2k

n = 2v

m + n = 2k + 2v = 2(k + v).

k and v can be equal but many times they are not. From that simple equation you cannot do anything for sure but divide by 2.

There are 4 combinations

m is divisible by 4 and n is not. The result will not be divisible by 4.

m is not divisible by 4 but n is. The result will not be divisible by 4.

But are divisible by 4 then the sum will be as well. Here's the really odd result

If both are even and not divisible by 4 then their sum is divisible by 4

3 0
4 years ago
which of the following best describes 4^2/3? a. sq root of 16, b. cube root of 4, c. sq root of four, d. cube root of 16
son4ous [18]

Answer: D) cube root of 16

================================================

Explanation:

The rule we use is

x^{m/n} = \sqrt[n]{x^m}

In this case, x = 4, m = 2 and n = 3.

So,

x^{m/n} = \sqrt[n]{x^m}\\\\\\4^{2/3} = \sqrt[3]{4^2}\\\\\\4^{2/3} = \sqrt[3]{16}\\\\\\

Showing that the original expression turns into the cube root of 16.

4 0
3 years ago
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SSSSS [86.1K]
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5 0
3 years ago
On a number line what is the difference between -3/7 and -2/3?
Yakvenalex [24]

Answer:  -5/21

Step-by-step explanation:

-3/7 & -4/6

common detonator is 42

-3/7 = -18/42 reduced to -9/21

-4/6 = -28/42 reduced to -14/21

difference between -9/21 and -14/21 = -5/21

4 0
3 years ago
A t-shirt increased in price by 1/4. After the increase it was £20. What was the original price of the t-shirt?
Licemer1 [7]

Answer:

£16

the t-shirt increased by 0.25. let's convert that to percentage

therefore it increased by 25%

By using cross multiplication we can write as follows:

125%=£20

100%=£ x

(100×20)/125= £16

8 0
3 years ago
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